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Finding the Third Proportional to 1,206 and 2,585

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Solution

The third proportional to 1,206 and 2,585 is: 5,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206 : 2,585 = 2,585 : x
  2. Step 2: Convert to fraction form
    1,206/2,585 = 2,585/x
  3. Step 3: Cross multiply
    1,206x = 2,585 × 2,585
  4. Step 4: Simplify right side
    1,206x = 6,682,225
  5. Step 5: Solve for x
    x = 6,682,225/1,206
  6. Step 6: Final answer
    x = 5,540.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.